@article{0e749fb7f1e0415980677fa5832c34c5,
title = "A Boundary Control Problem for Stochastic 2D-Navier–Stokes Equations",
abstract = "We study a stochastic velocity tracking problem for the 2D-Navier–Stokes equations perturbed by a multiplicative Gaussian noise. From a physical point of view, the control acts through a boundary injection/suction device with uncertainty, modeled by stochastic non-homogeneous Navier-slip boundary conditions. We show the existence and uniqueness of the solution to the state equation, and prove the existence of an optimal solution to the control problem.",
keywords = "60G15, 60H15, 76B75, 76D05, Navier-slip boundary conditions, Optimal control, Stochastic Navier–Stokes equations",
author = "Nikolai Chemetov and Fernanda Cipriano",
note = "info:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDB%2F00297%2F2020/PT# info:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDP%2F00297%2F2020/PT# info:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDB%2F00297%2F2020/PT# info:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDP%2F00297%2F2020/PT# Funding Information: The work of N.V. Chemetov was also supported by FAPESP (Funda{\c c}{\~a}o de Amparo {\`a} pesquisa do Estado de S{\~a}o Paulo), project 2021/03758-8, {"}Mathematical problems in fluid dynamics{"}. Publisher Copyright: {\textcopyright} The Author(s) 2024.",
year = "2024",
month = apr,
day = "24",
doi = "10.1007/s10957-024-02416-3",
language = "English",
journal = "Journal Of Optimization Theory And Applications",
issn = "0022-3239",
publisher = "Springer Science Business Media",
}